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Simplifying -5(y + 9) = 9 + -4y Reorder the terms: -5(9 + y) = 9 + -4y (9 * -5 + y * -5) = 9 + -4y (-45 + -5y) = 9 + -4y Solving -45 + -5y = 9 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -45 + -5y + 4y = 9 + -4y + 4y Combine like terms: -5y + 4y = -1y -45 + -1y = 9 + -4y + 4y Combine like terms: -4y + 4y = 0 -45 + -1y = 9 + 0 -45 + -1y = 9 Add '45' to each side of the equation. -45 + 45 + -1y = 9 + 45 Combine like terms: -45 + 45 = 0 0 + -1y = 9 + 45 -1y = 9 + 45 Combine like terms: 9 + 45 = 54 -1y = 54 Divide each side by '-1'. y = -54 Simplifying y = -54
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